Music director Alex Lacamoire and actor, composer Lin-Manuel Miranda and cast of “Hamilton” celebrate on stage the receiving of GRAMMY award on February 15, 2016 in New York City.Photo by Theo Wargo/Getty Images The national tour of the hit Broadway musical “Hamilton” will play the Buell Theatre as part of the Denver Center for the Performing Arts’ 2017-18 Broadway subscription series, the Denver Center for the Performing Arts and producer Jeffrey Seller announced Friday. “Hamilton” recently won 11 Tony awards, including honors for best musical, score and book.